\"\"

\

The function is \"\".

\

Rewrite the function as \"\".

\

Differentiate the function with respect to \"\".

\

\"\"

\

Product rule in derivatives: \"\".

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

Find extrema by equating the first derivative to zero.

\

\"\"

\

\"\"

\

Substitute the \"\" value in original function.

\

\"\"

\

\"\"

\

\"\". 

\

\"\"

\

Determine nature of the extrema, using second derivative test.

\

Consider \"\".

\

Apply derivative with respect to \"\".

\

\"\"

\

\"\" \"\".

\ \ \ \ \ \ \ \ \ \ \ \
PointSign of \"\"
\"\" \

\"\"

\
\

The function has absolute maximum at \"\".

\

\"\"

\

For inflection points, equate second derivative to zero.

\

\"\"

\

\"\"

\

Solve for \"\".

\

\"\".

\

Inflection point:

\

\"\"

\

\"\".

\

Inflection point is \"\".

\

\"\"

\

Graph :

\

Draw a coordinate plane.

\

Graph the function \"\".

\

\"\"

\

Observe the graph :

\

The function has absolute maximum at \"\".

\

Inflection point is \"\".

\

\"\"

\

The function has absolute maximum at \"\".

\

Inflection point is \"\".